CHARACTERS OF GL(n , F q ) AND HOPF ALGEBRAS

DOI10.1112/jlms/s2-30.1.27zbMath0551.20022OpenAlexW1996861275MaRDI QIDQ3344359

T. A. Springer, Andrei V. Zelevinsky

Publication date: 1984

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-30.1.27

zbMATH Keywords

conjugacy classesparabolic subgroupsprimitive elementsirreducible charactersinductiontransition matrixsymmetric algebragraded Hopf algebracomultiplicationcuspidal characterscomplex valued class functions on GL(n,q)multiplication of class functionstensor product of Hopf- subalgebras

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items

Foncteurs de Lusztig et caractères des groupes linéaires et unitaires sur un corps fini. (Lusztig functors and characters of linear and unitary groups over a finite field) ⋮ On certain degenerate Whittaker models for cuspidal representations of \({\mathrm{GL}_{k \cdot n}(\mathbb {F}_q)}\) ⋮ Representations of finite groups ⋮ The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\) ⋮ A representation stability theorem for VI-modules ⋮ Exact expression of the density of the sample generalized variance and applications ⋮ Explicit Shintani base change and the Macdonald correspondence for characters of GL\(_n(k)\) ⋮ Stable decompositions of certain representations of the finite general linear groups ⋮ In memoriam: Andrei Zelevinsky (1953--2013) ⋮ Symmetric functions and Springer representations